Hamper with food additive to eat cold (8)
I believe the answer is:
encumber
'hamper' is the definition.
(thesaurus)
'food additive to eat cold' is the wordplay.
'food additive' becomes 'E number' (type of food additive).
'to eat' indicates putting letters inside.
'cold' becomes 'c' (eg on taps).
'enumber' placed around 'c' is 'ENCUMBER'.
'with' is the link.
(Other definitions for encumber that I've seen before include "Restrict or impede" , "Burden with a difficulty" , "Be a burden to, hamper" , "Saddle" , "Constrain" .)